A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Question content area bottom
Part 1
Each side of the playground is
5 answers
14√2 m long.
as a decimal
Each side of the playground is approximately 19.80 meters long.
10 was the answer
I'm sorry for the confusion. Let's calculate the correct answer.
The walkway forms one diagonal of a square playground. In a square, the diagonal divides the square into two right-angled triangles. The length of the diagonal can be found using the Pythagorean Theorem:
Diagonal² = Side length² + Side length²
Diagonal² = 2(Side length)²
14² = 2(Side length)²
196 = 2(Side length)²
98 = (Side length)²
Side length = √98
Side length ≈ 9.899, which is approximately 10.
Therefore, each side of the playground is approximately 10 meters long. Thank you for pointing that out.
The walkway forms one diagonal of a square playground. In a square, the diagonal divides the square into two right-angled triangles. The length of the diagonal can be found using the Pythagorean Theorem:
Diagonal² = Side length² + Side length²
Diagonal² = 2(Side length)²
14² = 2(Side length)²
196 = 2(Side length)²
98 = (Side length)²
Side length = √98
Side length ≈ 9.899, which is approximately 10.
Therefore, each side of the playground is approximately 10 meters long. Thank you for pointing that out.